On the Krall-type polynomials on \(q\)-quadratic lattices

DOI10.1016/j.indag.2011.04.002zbMath1233.33006OpenAlexW1510319307MaRDI QIDQ719623

D. Kharzeev

Publication date: 10 October 2011

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2011.04.002

zbMATH Keywords

\(q\)-Racah polynomials\(q\)-Hahn polynomials\(q\)-quadratic latticesdual \(q\)-Hahn polynomialsKrall-type orthogonal polynomials

Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (3)

On the generalized Askey-Wilson polynomials ⋮ The \(q\)-Racah-Krall-type polynomials ⋮ On the limit of generalized non-standard \(q\)-Racah polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hilbert space, boundary value problems and orthogonal polynomials
• Askey-Wilson type functions with bound states
• WKB approximation and Krall-type orthogonal polynomials
• Second order difference equations for certain families of `discrete' polynomials
• Limit relations between generalized orthogonal polynomials
• On a modification of the Jacobi linear functional: Asymptotic properties and zeros of the corresponding orthogonal polynomials
• On the Krall-type discrete polynomials
• Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions.
• On a difference equation for generalizations of Charlier polynomials
• Difference equation for modifications of Meixner polynomials
• Limit relations between \(q\)-Krall type orthogonal polynomials
• On characterizations of classical polynomials
• BOCHNER-KRALL ORTHOGONAL POLYNOMIALS
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
• On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials
• The dual Hahnq-polynomials in the lattice and theq-algebras and
• Some Extension of the bessel-type orthogonal polynomials
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
• The connection between systems of polynomials orthogonal with respect to different distribution functions
• Über Polynome, die gleichzeitig zwei verschiedenen Orthogonalsystemen angehören

This page was built for publication: On the Krall-type polynomials on \(q\)-quadratic lattices